alg 2 h unit 9 (6.1-6.6) practice test - SchoolNotes

Name: ________________________ Class: ___________________ Date: __________ALGEBRA 2 HONORS--UNIT 9 (6.1 TO 6.6) PRACTICE TEST. GLUE IN AND SHOW ALLWORK AND EXPLAIN IN WORDS HOW TO DO EACH PROBLEM AND GET AN EXTRACREDIT STAMP IN YOU NOTEBOOK.1. Classify –7x 5 – 6x 4 + 4x 3 by degree and by number of terms.2. Use a graphing calculator to determine which type of model best fits the values in the table.x –6 –2 0 2 6y –6 –2 0 2 63. Write 4x 3 + 8x 2 – 96x in factored form.4. Use a graphing calculator to find the relative minimum, relative maximum, and zeros ofy = 3x 3 + 15x 2 − 12x − 60. If necessary, round to the nearest hundredth.5. Find the zeros of y = x(x − 3)(x − 2). Then graph the equation.6. Write a polynomial function in standard form with zeros at 5, –4, and 1.7. Find the zeros of f(x) = (x + 3) 2 (x − 5) 6 and state the multiplicity.8. Divide 3x 3 − 3x 2 − 4x + 3 by x + 3.Divide using synthetic division.9. (x 4 + 15x 3 − 77x 2 + 13x − 36) ÷ (x − 4)10. (x 3 + 4 − 11x + 3x 2 ) ÷ (x + 6)11. Use synthetic division to find P(2) for P(x) = x 4 + 3x 3 − 6x 2 − 10x + 8.Solve the equation by graphing.12. x 2 + 7x + 19 = 013. −8x 3 − 13x 2 + 6x = 0Factor the expression.14. x 3 + 21615. x 4 − 20x 2 + 6416. Solve 125x 3 + 343 = 0. Find all complex roots.17. Solve x 4 − 34x 2 = −225.18. Find the rational roots of x 4 + 8x 3 + 7x 2 − 40x − 60 = 0.

Find the roots of the polynomial equation.19. x 3 − 2x 2 + 10x + 136 = 020. 2x 3 + 2x 2 − 19x + 20 = 021. x 4 − 5x 3 + 11x 2 − 25x + 30 = 022. A polynomial equation with rational coefficients has the roots 5 + 1 , 4 − 7 . Find two additional roots.23. Find a third-degree polynomial equation with rational coefficients that has roots –5 and 6 + i.24. Find a quadratic equation with roots –1 + 4i and –1 – 4i.25. Find all zeros of 2x 4 − 5x 3 + 53x 2 − 125x + 75 = 0.

ID: AALGEBRA 2 HONORS--UNIT 9 (6.1 TO 6.6) PRACTICE TEST. GLUE IN AND SHOW ALLWORK AND EXPLAIN IN WORDS HOW TO DO EACH PROBLEM AND GET AN EXTRACREDIT STAMP IN YOU NOTEBOOK.Answer SectionSHORT ANSWER1. ANS:quintic trinomialREF: 6-1 Polynomial Functions2. ANS:linear modelREF: 6-1 Polynomial Functions3. ANS:4x(x – 4)(x + 6)REF: 6-2 Polynomials and Linear Factors4. ANS:relative minimum: –62.24, relative maximum: 37.79,zeros: x = –5, –2, 2REF: 6-2 Polynomials and Linear Factors5. ANS:0, 3, 2REF: 6-2 Polynomials and Linear Factors6. ANS:f(x) = x 3 − 2x 2 − 19x + 20REF: 6-2 Polynomials and Linear Factors

ID: A7. ANS:–3, multiplicity 2; 5, multiplicity 6REF: 6-2 Polynomials and Linear Factors8. ANS:3x 2 − 12x + 32+ –93/(x+ 3)REF: 6-3 Dividing Polynomials9. ANS:x 3 + 19x 2 − x + 9REF: 6-3 Dividing Polynomials10. ANS:x 2 − 3x + 7 –38/(x+6)REF: 6-3 Dividing Polynomials11. ANS:4REF: 6-3 Dividing Polynomials12. ANS:no solutionREF: 6-4 Solving Polynomial Equations13. ANS:0, –2, 0.38REF: 6-4 Solving Polynomial Equations14. ANS:(x + 6)(x 2 − 6x + 36)REF: 6-4 Solving Polynomial Equations15. ANS:(x − 2)(x + 2)(x − 4)(x + 4)REF: 6-4 Solving Polynomial Equations16. ANS:− 7 5 , 3550 − 35i 350, 3550 + 35i 350REF: 6-4 Solving Polynomial Equations17. ANS:3, –3, 5, –5REF: 6-4 Solving Polynomial Equations

ID: A18. ANS:–6, –2REF: 6-5 Theorems About Roots of Polynomial Equations19. ANS:3-5i,3+5i, –4REF: 6-5 Theorems About Roots of Polynomial Equations20. ANS:3 + i2, 3 − i2, −4REF: 6-5 Theorems About Roots of Polynomial Equations21. ANS:2, 3, i 5 , −i 5REF: 6-5 Theorems About Roots of Polynomial Equations22. ANS:5 − 1 , 4 + 7REF: 6-5 Theorems About Roots of Polynomial Equations23. ANS:x 3 − 7x 2 − 23x + 185 = 0REF: 6-5 Theorems About Roots of Polynomial Equations24. ANS:x 2 + 2x + 17 = 0REF: 6-5 Theorems About Roots of Polynomial Equations25. ANS:1, 3 , 5i, −5i2REF: 6-6 The Fundamental Theorem of Algebra